Question

Find the volume of each cylinder. Which cylinder has the greater volume? Use 3.14 for π and round your answers to the nearest hundredth. Two cylinders. The circumference of the base of cylinder A is 3 meters and the height of the cylinder is 5 meters. The circumference of the base of cylinder B is 5 meters and the height of the cylinder is 3 meters. Cylinder A has a volume of m3, and Cylinder B has a volume of m3. Cylinder has the greater volume.

Answer 1

Answer:

• Cylinder A has a volume of $3.58 m^3$,
• Cylinder B has a volume of $9.92 m^3.$
• Cylinder B has a greater volume.

Step-by-step explanation:

Cylinder A

Base Circumference=3 meters

$2\pi r =3\\r=\frac{3}{2\pi}$

Height=5 meters.

Volume $=\pi r^2 h$

$=\pi (\frac{3}{2\pi})^2 X5\\=\frac{9X5}{4\pi}\\\\=\frac{9X5}{4*3.14}\\\\=3.58m^3$

Cylinder A

Base Circumference=5 meters

$2\pi r =5\\r=\frac{5}{2\pi}$

Height=3 meters.

Volume $=\pi r^2 h$

$=\pi (\frac{5}{2\pi})^2 X5\\=\frac{25X5}{4\pi}\\\\=\frac{25X5}{4*3.14}\\\\=9.92m^3$

Cylinder A has a volume of $3.58 m^3$, and Cylinder B has a volume of $9.92 m^3.$

Cylinder B has a greater volume.